MathsJEE Main 28 Jan 2026, Shift 2·Q19·MCQ·Moderate

Indefinite Integration · Integration by substitution

Let

f(x) = \displaystyle\int\frac{dx}{x^{\left(\frac23\right)} + 2x^{\left(\frac12\right)}}

be such that

f(0) = -26 + 24\log_e(2)

. If

f(1) = a + b\log_e(3)

, where

a, b \in \mathbb{Z}

, then

a + b

is equal to:

(1) $-18$
(2) $-5$
(3) $-11$
(4) $-26$

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